\[ y'(x) \left (x^2 y(x) \sin (x y(x))-4 x\right )-y(x)+x y(x)^2 \sin (x y(x))=0 \] ✓ Mathematica : cpu = 0.102191 (sec), leaf count = 20
\[\text {Solve}\left [c_1+4 \log (y(x))+\cos (x y(x))+\log (x)=0,y(x)\right ]\]
✓ Maple : cpu = 0.299 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) ={\frac {1}{x}{\it RootOf} \left ( -{\it \_Z}+{{\rm e}^{-{\frac {\cos \left ( {\it \_Z} \right ) }{4}}}}{\it \_C1}\,{x}^{{\frac {3}{4}}} \right ) } \right \} \]